Magnetism Question 202

Question: If a magnet of length 10 cm and pole strength 40 A-m is placed at an angle of $45^\circ$ in an uniform induction field of intensity $2 \times 10^4$ T, the couple acting on it is

[Pb. PMT 1999; MH CET (Med.) 1999]

Options:

A) $0.5656 \times 10^4 $ N-m

B) $0.5656 \times 10 ^{-3} $ N-m

C) $0.656 \times 10^{-4} $ N-m

D) $0.656 \times 10^5 $ N-m

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Answer:

Correct Answer: B

Solution:

$ \tau =MB\sin \theta =( mL )B\sin \theta $

$ =(40\times 10\times {{10}^{-2}})\times 2\times {{10}^{-4}}\times \sin 45{}^\circ $

$ =0.565\times {{10}^{-3}}N-m $